SO(p,q)-Higgs bundles and Higher Teichmuller components

• Type: Article in International Scientific Journal
• Date: 2019

Authors

Aparicio Arroyo, M (Author) Other; Bradlow, S (Author) Other; Collier, B (Author) Other; Garcia Prada, O (Author) Other; Gothen, PB (Author) FCUP; Oliveira, A (Author) FCUP

Journal

Title: Inventiones Mathematicae

Vol. 218

Pages: 197-299

ISSN: 0020-9910

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 6 Citations

Scopus - 8 Citations

Other information

Authenticus ID: P-00Q-VGX

DOI: 10.1007/s00222-019-00885-2

Abstract (EN): Some connected components of a moduli space are mundane in the sense that they are distinguished only by obvious topological invariants or have no special characteristics. Others are more alluring and unusual either because they are not detected by primary invariants, or because they have special geometric significance, or both. In this paper we describe new examples of such 'exotic' components in moduli spaces of of SO(p, q)-Higgs bundles on closed Riemann surfaces or, equivalently, moduli spaces of surface group representations into the Lie group SO(p, q). Furthermore, we discuss how these exotic components are related to the notion of positive Anosov representations recently developed by Guichard and Wienhard. We also provide a complete count of the connected components of these moduli spaces (except for SO(2, q), with q >= 4).

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 103